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Finding the Fourth Proportional to 520.77, 717.19 and 432.64

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Solution

The fourth proportional to 520.77, 717.19 and 432.64 is: 595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.77 : 717.19 = 432.64 : x
  2. Step 2: Convert to fraction form
    520.77/717.19 = 432.64/x
  3. Step 3: Cross multiply
    520.77x = 717.19 × 432.64
  4. Step 4: Simplify right side
    520.77x = 310,285.08
  5. Step 5: Solve for x
    x = 310,285.08/520.77
  6. Step 6: Final answer
    x = 595.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.